I've used a .300 Win Mag deer hunting for over 20+ years and have never had one run. They drop on the spot (lung or neck shot) from 40 yards to over 200 yards. I use cheapo 150 gr Remington CoreLoks or Winchester PowerPoints as they both group really well in my Ruger. All the deer I see shot on tv using those expensive bullets run. I don't think they expand soon enough and just blow through without expending any energy in the animal which (IMHO) is what you want for a quick kill.
The only premium bullet I would ever use are Nosler partitions. The best bullet ever made.